Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Concept

Nonlinear system

Related lectures (30)

Circle Criterion: Stability and Nonlinearity

Covers the concept of passivity in linear systems and the circle criterion for absolute stability.

Nonlinear Dynamics: Stability and Chaos

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

Nonlinear Dynamics and Complex Systems

Covers chaotic behavior in complex systems, with applications in various fields and a historical overview of major developments in chaos theory.

Nonlinear Dynamical Systems: Key Concepts

Covers key concepts in nonlinear dynamical systems, such as existence, uniqueness, and continuous dependence of solutions.

Nonlinear Equations: Fixed Point Method Convergence

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Introduction to Nonlinear Systems Control

Covers the analysis and control of nonlinear systems, including methods like phase plan and passivity.

Nonlinear Systems: Equations and Solutions

Explores solving nonlinear systems of equations using Newton's method.

Nonlinear Equations: Methods and Applications

Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.

Nonlinear Analysis of Structures

Explores nonlinear analysis of structures, including the Newmark Method and modeling strategies.

Examples: Linear and Nonlinear Functions

Explores Cauchy problems with linear and nonlinear functions, emphasizing the importance of initial conditions and multiple solutions.

Vectorization in Python: Efficient Computation with Numpy

Covers vectorization in Python using Numpy for efficient scientific computing, emphasizing the benefits of avoiding for loops and demonstrating practical applications.

Nonlinear Systems: Phase Portrait Analysis

Explores nonlinear systems through phase portraits in 2D, focusing on vector fields, isoclines, and trajectories.

Diffusion-Convection: Modeling and Schemes

Covers modeling and numerical schemes for diffusion-convection problems.

Passivity, Stability and Circle Criterion

Covers passivity, absolute stability, and the circle criterion in linear systems with feedback.

Passivity: I

Covers the concept of passivity for linear systems and related properties.

Non-linear dynamics

Explores practical applications in nonlinear dynamics, emphasizing symplectic integration methods and thin lens approximations for accurate computations in accelerator physics.

Stable Estimator of Dynamical System (SEDS)

Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.

Optomechanical Dynamics: Insights & Simulations

Explores nonlinear dynamics in optomechanical systems, covering instability, limit cycles, synchronization, chaos, and simulations.

Learning and Adaptive Control for Robots: SEDS & LPV-DS

Explores learning and adaptive control for robots through SEDS and LPV-DS, emphasizing stability, non-linear dynamics, and optimization.

Nonlinear Equations: Methods and Convergence Log in to Mediaspace to watch this video

Explores high-order fixed-point methods and Newton-Raphson method for solving nonlinear equations.