Research in dynamical systems and chaotic attractors has increasingly illuminated the intricate behaviour inherent in nonlinear systems. At its core, this field interweaves concepts from mathematical ...

We often encounter nonlinear dynamical systems that behave unpredictably, such as the earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the ...

Earn an Online Dynamic Systems Certificate. Equip Yourself For Success in Model-Based Engineering. Our world is composed of dynamic systems: those that are not static but that change with time due to ...

Covers dynamical systems defined by mappings and differential equations. Hamiltonian mechanics, action-angle variables, results from KAM and bifurcation theory, phase plane analysis, Melnikov theory, ...

Threshold-linear networks (TLNs) display a wide variety of nonlinear dynamics including multistability, limit cycles, quasiperiodic attractors, and chaos. Over the past few years, we have developed a ...

In dynamical systems research, a 'basin of attraction' is the set of all the starting points -- usually close to one another -- that arrive at the same final state as the system evolves through time.

Many frequently observed real-world phenomena are nonlinear in nature. This means that their output does not change in a manner that is proportional to their input. These models have a degree of ...