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Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I / / Solomon Lefschetz
Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I / / Solomon Lefschetz
Autore Lefschetz Solomon
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (365 pages) : illustrations
Disciplina 531.3
Collana Annals of Mathematics Studies
Soggetto topico Oscillations
Soggetto non controllato Absolute value
Addition
Algebraic equation
Amplitude modulation
Angular frequency
Applied mathematics
Approximation
Boundary value problem
Coefficient
Complex analysis
Continuous function
Contradiction
Curve
Diagram (category theory)
Differential equation
Dimensionless quantity
Discriminant
Eigenvalues and eigenvectors
Empty set
Equation
Experiment
Fourier
Frequency modulation
Homotopy
Implicit function theorem
Initial condition
Integer
Integral equation
Limit point
Linear map
Nonlinear system
Normal (geometry)
Notation
Operator theory
Ordinary differential equation
Oscillation
Parameter
Periodic function
Phase space
Pure mathematics
Quantity
Rational function
Saddle point
Second derivative
Simply connected space
Singular perturbation
Solid torus
Special case
Suggestion
Summation
Tangent space
Theorem
Theory
Three-dimensional space (mathematics)
Topology
Two-dimensional space
Uniqueness
Vacuum tube
Variable (mathematics)
Vector field
ISBN 1-4008-8263-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- I. ON SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, Stephen P. -- II. OSCILLATION OF A THIRD ORDER NONLINEAR AUTONOMOUS SYSTEM / Rauch, Lawrence Lee -- III. NON-LINEAR DELAY DIFFERENTIAL EQUATIONS / Brownell, F. H. -- IV. FORCED OSCILLATIONS IN NONLINEAR SYSTEMS / Cartwright, M. L. -- V. SINGULAR PERTURBATIONS OF A VAN DER POL EQUATION / Wendel, James G. -- VI. THE EXISTENCE OF FORCED PERIODIC SOLUTIONS OF SECOND ORDER DIFFERENTIAL EQUATIONS NEAR CERTAIN EQUILIBRIUM POINTS OF THE UNFORCED EQUATION / Langenhop, C. E. / Farnell, A. B. -- VII. ON THE CONSTRUCTION OF PERIODIC SOLUTIONS OF SINGULAR PERTURBATION PROBLEMS / Wasow, Wolfgang
Record Nr. UNINA-9910154745203321
Lefschetz Solomon  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
Autore Lefschetz Solomon
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (300 pages) : illustrations
Disciplina 531.3
Collana Annals of Mathematics Studies
Soggetto topico Oscillations
Soggetto non controllato 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
ISBN 1-4008-8217-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS / Seifert, George -- II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS / Markus, L. -- III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS / Pinney, Edmund -- IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER / Haas, Violet B. -- V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION / Gomory, Ralph E. -- VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE / Barocio, Samuel -- VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION / Haas, Felix -- VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS / Hufford, George -- IX. A FIXED POINT THEOREM / Kyner, Walter T. -- X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Hufford, G. -- XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Marcus, M. D. -- XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM / Marcus, Marvin D. -- XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM) / Diliberto, Stephen P. -- XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM / Marcus, Marvin D. -- XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS / Diliberto, Stephen P. -- XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE / Koosis, Paul -- Backmatter
Record Nr. UNINA-9910154750203321
Lefschetz Solomon  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui