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"Nonlinear systems" as a book category covers the theory, analysis, modeling and practical control of systems whose behavior cannot be described by linear equations—where outputs are not proportional to inputs and phenomena such as bifurcation, limit cycles, chaos, multistability and sensitive dependence on initial conditions can arise. Works in this category range from introductory texts that explain basic nonlinear dynamics and phase-plane methods to advanced monographs on stability theory (Lyapunov methods), bifurcation and chaos theory, nonlinear control design, and numerical simulation techniques. They span disciplines—mathematics, physics, engineering, biology and economics—emphasizing both rigorous analytical tools and computational or experimental approaches for understanding, predicting and controlling complex real-world systems. Readers can expect a mix of theoretical foundations, applied modeling examples, case studies (e.g., robotics, power systems, ecological models, fluid dynamics), and practical algorithms for simulation and control.

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