Dynamical Systems

¿List of ContributorsPrefaceContents of Volume 1Chapter 1 Qualitative Theory Some Qualitative Aspects of the Three-Body Flow Separatrix Structure for Regions Attracted to Solitary Periodic Solutions Solitary Invariant Sets Singular Points and Separatrices Global Results by Local Averaging for Nearly Hamiltonian Systems Equivalence of Suspensions and Manifolds with Cross Section Structural Stability Theorems Numerical Studies of an Area-Preserving Mapping A Geometrical Approach to Classical MechanicsChapter 2 General Theory A Solution of Ulam's Conjecture on the Existence of Invariant Measures and Its Applications Bifurcation Theory for Odd Potential Operators An Existence Theorem for Solutions of Orientor Fields Nonlinear Perturbations at Resonance On Continuous Dependence of Fixed Points of Condensing Maps Small Noise Ergodic Dynamical SystemsChapter 3 Evolutionary Equations "Pointwise Degeneracy" for Delay Evolutionary Equations On Constructing a Liapunov Functional While Defining a Linear Dynamical System Measurability and Continuity Conditions for Evolutionary Processes Stabilization of Linear Evolutionary ProcessesChapter 4 Functional Differential Equations Bifurcation Theory and Periodic Solutions of Some Autonomous Functional Differential Equations A Stability Criterion for Linear Autonomous Functional Differential Equations Periodic Differential Difference Equations Point Data Problems for Functional Differential Equations Relations Between Functional and Ordinary Differential Equations Asymptotically Autonomous Neutral Functional Differential Equations with Time-Dependent Lag The Invariance Principle for Functional Equations Existence and Stability of Periodic Solutions of x' (t)= -f(x(t), x(t - 1) Existence and Stability of Solutions on the Real Line to x(t) + ¿t-8a(t - t)g,(t, x(t)) dt = (f(t), with General Forcing Term Existence and Stability for Partial Functional Differential Equations Periodic Solutions to a Population Equation Existence and Stability of Forced Oscillation in Retarded Equations Exact Solutions of Some Functional Differential EquationsChapter 5 Topological Dynamical Systems Extendability of an Elementary Dynamical System to an Abstract Local Dynamical System Skew-Product Dynamical Systems Liapunov Functions and the Comparison Principle Distal Semidynamical Systems Prolongations in Semidynamical Systems When Do Liapunov Functions Exist on Invariant Neighborhoods? The "Simplest" Dynamical System Continuous Operators That Generate Many Flows Existence and Continuity of Liapunov Functions in General SystemsChapter 6 Ordinary Differential and Volterra Equations Stability Under the Perturbation by a Class of Functions On a General Type of Second-Order Forced Nonlinear Oscillations Stability of Periodic Linear Systems and the Geometry of Lie Groups Periodic Solutions of Holomorphic Differential Equations On the Newton Method of Solving Problems of the Least Squares Type for Ordinary Differential Equations A Study on Generation of Nonuniqueness Relative Asymptotic Equivalence with Weight tµ , Between Two Systems of Ordinary Differential Equations Partial Peeling Boundary Value Problems for Perturbed Differential Equations On Stability of Solutions of Perturbed Differential Equations Stability Theory for Nonautonomous Systems A Nonoscillation Result for a Forced Second-Order Nonlinear Differential Equation Convexity Properties and Bounds for a Class of Linear Autonomous Mechanical Systems Dynamical Systems Arising from Electrical Networks An Invariance Principle for Vector Liapunov Functions Stability of a Nonlinear Volterra Equation On a Class of Volterra Integrodlfferential Equations Existence and Continuation Properties of Solutions of a Nonlinear Volterra