dynamical-systems

Articles

• Homoclinic connection
• MicromagneticsMagnetism of sub-micron scales
• Homoclinic orbitClosed loop through a phase space
• Invariant manifoldTopological manifold that is invariant under the action of dynamical system
• Krylov–Bogoliubov averaging method
• Marginal stabilityDynamical system which is neither asymptotically stable nor unstable
• Outer billiards
• Feigenbaum constantsMathematical constants related to chaotic behavior
• Orbit portrait
• Differential variational inequality
• Nekhoroshev estimatesResult in theory of Hamiltonian systems
• Euler's DiskScientific educational toy
• Slow manifold
• Irrational rotationRotation of a circle by an angle of π times an irrational number
• Invariant manifoldTopological manifold that is invariant under the action of dynamical system
• Krylov–Bogoliubov averaging method
• Heteroclinic orbitPath between equilibrium points in a phase space
• Fermi–Ulam modelDynamical system
• Stable manifold theoremResult in dynamical systems theory
• Rational dependence
• Time reversibilityType of physical or mathematical property
• Isochron
• Rational dependence
• Rotational–vibrational couplingWhen the angular frequency of a system matches its natural vibrational frequency
• Stable manifold theoremResult in dynamical systems theory
• Quasiperiodic motionType of motion that is approximately periodic
• Center manifoldMathematical concept
• Inertial manifold
• Rotational–vibrational couplingWhen the angular frequency of a system matches its natural vibrational frequency
• Method of averaging
• Invariant measureConcept in mathematics
• Homoclinic connection
• Slow manifold
• Exponential stabilityContinuous-time linear system with only negative real parts
• Orbit (dynamics)Set of points linked through the evolution function of a dynamical system
• Homoclinic connection
• Nekhoroshev estimatesResult in theory of Hamiltonian systems
• Euler's DiskScientific educational toy
• MicromagneticsMagnetism of sub-micron scales
• Homoclinic orbitClosed loop through a phase space
• Crisis (dynamical systems)
• Lyapunov timeTimescale of dynamical systems
• Lagrangian coherent structureDistinguished surfaces of dynamic trajectories
• Rulkov mapMap used to model a biological neuron
• Lyapunov exponentRate of separation of infinitesimally close trajectories
• Linear dynamical systemType of mathematical system
• Lyapunov timeTimescale of dynamical systems
• Lagrangian coherent structureDistinguished surfaces of dynamic trajectories
• Rulkov mapMap used to model a biological neuron
• Lyapunov exponentRate of separation of infinitesimally close trajectories