Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / / ed. by Solomon Lefschetz.

The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV, will be forthcoming.

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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1959
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 41
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spelling Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / ed. by Solomon Lefschetz.
Princeton, NJ : Princeton University Press, [2016]
©1959
1 online resource (224 p.)
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Annals of Mathematics Studies ; 41
Frontmatter -- Preface -- Contents -- I. On the Non-Linear Difference-Differential Equation y1(t) = [A - By(t-r) ly (t) -- II. On the Critical Points of a Class of Differential Equations -- III. Optimal Discontinuous Forcing Terms -- IV. On the Structure of Symmetric Periodic Solutions of Conservative Systems, with Applications -- V. Asymptotic Behavior of Solutions of Canonical Systems Near a Closed, Unstable Orbit -- VI. Small Periodic Perturbations of an Autonomous System of Vector Equations -- VII. Rotated Vector Fields and an Equation for Relaxation Oscillations -- VIII. A Survey of Lyapunov's Second Method -- IX. On Phase Portraits of Critical Points in n-Space -- X. On Non-Linear Repulsive Forces -- Backmatter
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV, will be forthcoming.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Nonlinear oscillations.
MATHEMATICS / Differential Equations / General. bisacsh
Algebraic curve.
Analytic continuation.
Analytic function.
Asymptotic analysis.
Banach space.
Big O notation.
Boundary value problem.
Calculation.
Canonical transformation.
Cartesian coordinate system.
Change of variables.
Characteristic exponent.
Coefficient.
Computation.
Conic section.
Continuous function.
Convex set.
Counterexample.
Curvature.
Curve.
Degrees of freedom (statistics).
Derivative.
Diagram (category theory).
Differentiable function.
Differential equation.
Dimension.
Dimensional analysis.
Division by zero.
Eigenvalues and eigenvectors.
Elementary proof.
Equation.
Essential singularity.
Existence theorem.
Existential quantification.
Exterior (topology).
Fixed-point theorem.
Forcing (mathematics).
Forcing (recursion theory).
Function space.
Functional equation.
Hamiltonian system.
Hyperplane.
Inflection point.
Initial condition.
Initial value problem.
Integral equation.
Inverse function.
Iteration.
Lagrangian mechanics.
Lefschetz fixed-point theorem.
Limit cycle.
Limit of a sequence.
Limit point.
Limit set.
Line segment.
Line-line intersection.
Linearity.
Lipschitz continuity.
Lyapunov stability.
Mathematical optimization.
Mathematics.
Monotonic function.
Newton polygon.
Nonlinear system.
Orbital stability.
Ordinary differential equation.
Ordinate.
Parameter.
Parametrization.
Parity (mathematics).
Partial derivative.
Periodic function.
Periodic point.
Perturbation theory (quantum mechanics).
Phase space.
Power series.
Principal part.
Proportionality (mathematics).
Quadratic.
Real variable.
Scalar (physics).
Scientific notation.
Sign (mathematics).
Significant figures.
Solomon Lefschetz.
Special case.
Sturm-Liouville theory.
Subset.
Surface of revolution.
Theorem.
Theory.
Three-dimensional space (mathematics).
Transversal (geometry).
Unification (computer science).
Upper half-plane.
Variable (mathematics).
Variational method (quantum mechanics).
Vector field.
Vector notation.
Zero of a function.
Antosiewicz, H. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Bass, Robert W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Bushaw, D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
DeVogelaere, René, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Kakutani, S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Kyner, Walter T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Lefschetz, Solomon, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Lefschetz, Solomon, editor. edt http://id.loc.gov/vocabulary/relators/edt
Markus, L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Mendelson, Pinchas, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Seifert, George, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Slotnick, D. L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496
print 9780691079325
https://doi.org/10.1515/9781400881758
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author2 Antosiewicz, H. A.,
Antosiewicz, H. A.,
Bass, Robert W.,
Bass, Robert W.,
Bushaw, D.,
Bushaw, D.,
DeVogelaere, René,
DeVogelaere, René,
Kakutani, S.,
Kakutani, S.,
Kyner, Walter T.,
Kyner, Walter T.,
Lefschetz, Solomon,
Lefschetz, Solomon,
Lefschetz, Solomon,
Lefschetz, Solomon,
Markus, L.,
Markus, L.,
Mendelson, Pinchas,
Mendelson, Pinchas,
Seifert, George,
Seifert, George,
Slotnick, D. L.,
Slotnick, D. L.,
author_facet Antosiewicz, H. A.,
Antosiewicz, H. A.,
Bass, Robert W.,
Bass, Robert W.,
Bushaw, D.,
Bushaw, D.,
DeVogelaere, René,
DeVogelaere, René,
Kakutani, S.,
Kakutani, S.,
Kyner, Walter T.,
Kyner, Walter T.,
Lefschetz, Solomon,
Lefschetz, Solomon,
Lefschetz, Solomon,
Lefschetz, Solomon,
Markus, L.,
Markus, L.,
Mendelson, Pinchas,
Mendelson, Pinchas,
Seifert, George,
Seifert, George,
Slotnick, D. L.,
Slotnick, D. L.,
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author_sort Antosiewicz, H. A.,
title Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV /
spellingShingle Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV /
Annals of Mathematics Studies ;
Frontmatter --
Preface --
Contents --
I. On the Non-Linear Difference-Differential Equation y1(t) = [A - By(t-r) ly (t) --
II. On the Critical Points of a Class of Differential Equations --
III. Optimal Discontinuous Forcing Terms --
IV. On the Structure of Symmetric Periodic Solutions of Conservative Systems, with Applications --
V. Asymptotic Behavior of Solutions of Canonical Systems Near a Closed, Unstable Orbit --
VI. Small Periodic Perturbations of an Autonomous System of Vector Equations --
VII. Rotated Vector Fields and an Equation for Relaxation Oscillations --
VIII. A Survey of Lyapunov's Second Method --
IX. On Phase Portraits of Critical Points in n-Space --
X. On Non-Linear Repulsive Forces --
Backmatter
title_full Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / ed. by Solomon Lefschetz.
title_fullStr Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / ed. by Solomon Lefschetz.
title_full_unstemmed Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / ed. by Solomon Lefschetz.
title_auth Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV /
title_alt Frontmatter --
Preface --
Contents --
I. On the Non-Linear Difference-Differential Equation y1(t) = [A - By(t-r) ly (t) --
II. On the Critical Points of a Class of Differential Equations --
III. Optimal Discontinuous Forcing Terms --
IV. On the Structure of Symmetric Periodic Solutions of Conservative Systems, with Applications --
V. Asymptotic Behavior of Solutions of Canonical Systems Near a Closed, Unstable Orbit --
VI. Small Periodic Perturbations of an Autonomous System of Vector Equations --
VII. Rotated Vector Fields and an Equation for Relaxation Oscillations --
VIII. A Survey of Lyapunov's Second Method --
IX. On Phase Portraits of Critical Points in n-Space --
X. On Non-Linear Repulsive Forces --
Backmatter
title_new Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV /
title_sort contributions to the theory of nonlinear oscillations (am-41), volume iv /
series Annals of Mathematics Studies ;
series2 Annals of Mathematics Studies ;
publisher Princeton University Press,
publishDate 2016
physical 1 online resource (224 p.)
Issued also in print.
contents Frontmatter --
Preface --
Contents --
I. On the Non-Linear Difference-Differential Equation y1(t) = [A - By(t-r) ly (t) --
II. On the Critical Points of a Class of Differential Equations --
III. Optimal Discontinuous Forcing Terms --
IV. On the Structure of Symmetric Periodic Solutions of Conservative Systems, with Applications --
V. Asymptotic Behavior of Solutions of Canonical Systems Near a Closed, Unstable Orbit --
VI. Small Periodic Perturbations of an Autonomous System of Vector Equations --
VII. Rotated Vector Fields and an Equation for Relaxation Oscillations --
VIII. A Survey of Lyapunov's Second Method --
IX. On Phase Portraits of Critical Points in n-Space --
X. On Non-Linear Repulsive Forces --
Backmatter
isbn 9781400881758
9783110494914
9783110442496
9780691079325
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA871
callnumber-sort QA 3871 L44 41958EB
url https://doi.org/10.1515/9781400881758
https://www.degruyter.com/isbn/9781400881758
https://www.degruyter.com/document/cover/isbn/9781400881758/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 530 - Physics
dewey-ones 531 - Classical mechanics; solid mechanics
dewey-full 531.3
dewey-sort 3531.3
dewey-raw 531.3
dewey-search 531.3
doi_str_mv 10.1515/9781400881758
oclc_num 954123799
work_keys_str_mv AT antosiewiczha contributionstothetheoryofnonlinearoscillationsam41volumeiv
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code="a">Linearity.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lipschitz continuity.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lyapunov stability.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematical optimization.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematics.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Monotonic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Newton polygon.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Nonlinear system.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Orbital stability.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Ordinary differential equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Ordinate.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Parameter.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Parametrization.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Parity (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Partial derivative.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Periodic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Periodic point.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Perturbation theory (quantum mechanics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Phase space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Power series.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Principal part.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Proportionality (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quadratic.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Real variable.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Scalar (physics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Scientific notation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sign (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Significant figures.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Solomon Lefschetz.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Special case.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sturm-Liouville theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subset.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Surface of revolution.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Three-dimensional space (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transversal (geometry).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Unification (computer science).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Upper half-plane.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Variable (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Variational method (quantum mechanics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vector field.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vector notation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Zero of a function.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Antosiewicz, H. A., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bass, Robert W., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bushaw, D., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">DeVogelaere, René, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kakutani, S., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kyner, Walter T., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lefschetz, Solomon, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lefschetz, Solomon, </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Markus, L., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mendelson, Pinchas, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Seifert, George, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Slotnick, D. L., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton Annals of Mathematics eBook-Package 1940-2020</subfield><subfield code="z">9783110494914</subfield><subfield code="o">ZDB-23-PMB</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton University Press eBook-Package Archive 1927-1999</subfield><subfield code="z">9783110442496</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9780691079325</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400881758</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781400881758</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9781400881758/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999</subfield><subfield code="c">1927</subfield><subfield code="d">1999</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_PPALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-PMB</subfield><subfield code="c">1940</subfield><subfield code="d">2020</subfield></datafield></record></collection>