Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III /

The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III, will be forthcoming.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lefschetz, Solomon (Autor)
Otros Autores: Barocio, Samuel (Contribuidor), Diliberto, S. P. (Contribuidor), Diliberto, Stephen P. (Contribuidor), Gomory, Ralph E. (Contribuidor), Haas, Felix (Contribuidor), Haas, Violet B. (Contribuidor), Hufford, G. (Contribuidor), Hufford, George (Contribuidor), Koosis, Paul (Contribuidor), Kyner, Walter T. (Contribuidor), Marcus, M. D. (Contribuidor), Marcus, Marvin D. (Contribuidor), Markus, L. (Contribuidor), Pinney, Edmund (Contribuidor), Seifert, George (Contribuidor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Annals of Mathematics Studies ; 36
Temas:
Nonlinear oscillations.
Oscillations.
MATHEMATICS / Differential Equations / General.
Addition.
Almost periodic function.
Analytic function.
Analytic manifold.
Asymptote.
Asymptotic analysis.
Banach space.
Basis (linear algebra).
Betti number.
Big O notation.
Boundary (topology).
Boundary value problem.
Boundedness.
Calculation.
Cartesian coordinate system.
Characteristic equation.
Characteristic exponent.
Coefficient matrix.
Coefficient.
Combination.
Complex number.
Complex space.
Connected space.
Continuous function.
Counterexample.
Curve.
Degeneracy (mathematics).
Degrees of freedom (statistics).
Derivative.
Determinant.
Differentiable function.
Differential equation.
Dissipative system.
Eigenvalues and eigenvectors.
Equation.
Existence theorem.
Existential quantification.
Exterior (topology).
First variation.
Fixed-point theorem.
Fundamental theorem.
Geometry.
Half-space (geometry).
Homeomorphism.
Homotopy.
Hyperbolic sector.
Identity matrix.
Imaginary number.
Implicit function.
Infimum and supremum.
Integral curve.
Interior (topology).
Intersection (set theory).
Interval (mathematics).
Invertible matrix.
Jacobian matrix and determinant.
Jordan curve theorem.
Limit cycle.
Limit point.
Limit set.
Line at infinity.
Linear approximation.
Linear differential equation.
Linear equation.
Linear map.
Lipschitz continuity.
Matrix (mathematics).
Monotonic function.
N-vector.
Nonlinear system.
Ordinary differential equation.
Parameter.
Parametric equation.
Parametrization.
Partial derivative.
Periodic function.
Phase plane.
Phase space.
Point at infinity.
Polynomial.
Projective plane.
Quantity.
Saddle point.
Scientific notation.
Second derivative.
Separatrix (mathematics).
Sign (mathematics).
Simultaneous equations.
Singular perturbation.
Special case.
Submanifold.
Summation.
Tangent.
Taylor series.
Theorem.
Theory.
Topology.
Vector field.
Velocity.
Zero of a function.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • Frontmatter
  • PREFACE
  • CONTENTS
  • I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS
  • II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS
  • III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS
  • IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER
  • V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION
  • VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE
  • VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION
  • VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS
  • IX. A FIXED POINT THEOREM
  • X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS
  • XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS
  • XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM
  • XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM)
  • XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM
  • XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS
  • XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE
  • Backmatter

Ejemplares similares