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 ...

The study of dynamical systems governed by partial differential equations (PDEs) offers profound insights into the evolution of complex phenomena across physics, biology and engineering. In these ...

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 ...

Introduces undergraduate students to chaotic dynamical systems. Topics include smooth and discrete dynamical systems, bifurcation theory, chaotic attractors, fractals, Lyapunov exponents, ...

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, ...

In the context of physical systems, dynamical systems are mathematical models that describe the time evolution of a system’s state, typically represented as points in a phase space governed by ...

Preliminary information about the course I am scheduled to teach in the spring, MATH 324 (TuTh 10 - 11:15 in Sears 333). Information about using Mathematica on the CWRU Network. My contact information ...

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 ...