Mathematical Theory
Differential Equations
- Wronskian
- Sturm-Liouville Equation
- Hartman-Grobman Theorem
- Green Function
- Characteristics
- Separation of Variables
- Inertial Manifolds
- Variational Methods
- Spectral Theory and Eigenvalue Problems for PDE
- Implicit Differential Equations
- Infinite Order Differential Equations
- Differential Equations in Abstract Spaces
- Differential Equations with Impulses
- Differential Inequalities
- Discontinuous Differential Equations
Methods
- Asymptotic Methods
- Ill Posed Problem
- Spectral Analysis
- AUTO
- Catastrophe Theory
- Hartman-Grobman Theorem
- Melnikov Method
- Pitchfork Bifurcation
- Swallowtail Catastrophe
- Transcritical Bifurcation
- Expansiveness
- Index Theory
- Sofic System
- Subshift Of Finite Type
- Topological Exactness
Ergodic Theory
- Bernoulli Shift
- Exactness
- Lasota-Yorke Theorem
- Markov Shift
- Mixing (ergodic theory)
- Expanding Maps
- Hartman-Grobman Theorem
- Poincaré-Denjoy Theory
- Difference Equations
- Fatou Domains
- Herman Rings
- Interval Maps
- Poincare Map
- Twist Maps
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Nonlinear Phenomena
- Almost Periodic Function
- Floquet Theory
- Parametric Oscillator
- Pendulum
- Linear Oscillator
- Weakly nonlinear oscillator
- Gait Control
- Malkin Theorem
- Mean-Field Synchronization
- Slowly Coupled Oscillators
- Breathers
- Dissipative Systems
- Ginzburg-Landau Equation
- Gradient System
Chaos
- Deterministic Walk in Random Environment
- Disordered Systems
- Fokker-Planck Equation
- Markov Process
- Metropolis Method
- Monte-Carlo Method
- Ornstein-Uhlenbeck Process
- Percolation Theory
- Random Walk
- Brownian Motion
- Avalanche
- Stratanovich Calculus
- Stochastic Process
Control Theory
- Adaptive Control
- H-infinity Control
- Hierarchical Control
- Nonlinear Control
- Observability and Controllability
- Predictive Control
- Robust Control
- Stochastic Control Theory
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Applications
Physiology and Medicine
Cardiac Dynamics
Chemistry
- Chemical Oscillators
- Pharmakinetics
Population Biology
- Replicator Dynamics
- Traffic Flow
- Verhulst Equation
Engineering
- Controllability
- Hysteresis
- Josephson Junction
- Lienard Oscillator
- RC Circuit
Fluid Dynamics
Mechanics
- Ballistics
- Equation of Motion
- Hénon-Heiles System
- Lagrangian
- Pendulum
Optics
Physics
- Nonlinear Acoustics
- Quantum Dynamics
- Plasma
- Statistical Mechanics
- Schrodinger Equation
- Semiconductor Oscillators
- Sine-Gordon Equations
- Superconductors
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