dynamical systems
Dynamical systems refer to mathematical models that describe how a system changes over time. These models capture the interactions and behaviors of the system's elements, allowing us to predict its future state based on its current state and the rules governing its evolution.
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Related Concepts (61)
- applications of dynamical systems in biology
- applications of dynamical systems in economics
- applications of dynamical systems in engineering
- applications of dynamical systems in physics
- attractor basins
- attractor dynamics
- attractors
- bifurcation diagram
- bifurcation theory
- chaos theory
- chaotic dynamics
- complex dynamics
- complex systems
- complex systems and emergent behavior
- continuous and discrete systems
- continuous-time dynamical systems
- control of dynamical systems
- control theory
- discrete dynamical systems
- dissipation-driven adaptation
- dissipative systems
- dynamical systems in ecology
- ergodic theory
- feedback loops
- feigenbaum constants
- fixed points
- fractals
- fractals and self-similarity
- hamiltonian systems
- iterated function systems
- iterated maps
- logistic map
- lorenz gas
- lyapunov exponent
- lyapunov exponents
- network dynamics
- nonlinear differential equations
- nonlinear dynamics
- nonlinear systems
- oscillations
- pattern formation and self-organization
- period-doubling bifurcation
- period-doubling cascades
- periodic orbits
- phase space
- poincaré maps
- poincaré recurrence theorem
- poincaré section
- rössler attractor
- self-organization
- self-organized criticality
- stability analysis
- stability and bifurcation analysis
- stochastic dynamical systems
- stochastic processes
- strange attractor
- strange attractor models
- strange attractors
- synchronization
- synchronization and coupled oscillators
- synchronization of chaotic systems
Similar Concepts
- complex dynamical systems
- computation in dynamical systems
- deterministic dynamical system
- discrete-time dynamical systems
- dynamic systems
- dynamical instability
- dynamical system
- dynamical systems in statistical mechanics
- dynamical systems theory
- ecological systems dynamics
- integrability of dynamical systems
- linear dynamical systems
- nonlinear dynamical systems
- nonlinear dynamical systems models
- system dynamics