In this book we will study equations of the following form x= f (x, t; µ),(0.0. 1) and x↦→ g (x;
µ),(0.0. 2) with x∈ U⊂ Rn, t∈ R1, and µ∈ V⊂ Rp where U and V are open sets in Rn and …

Abstract Introduction; Part I. Essentials of Nonlinear Dynamics: 1. Nonlinear mappings; 2.
Probability in the theory of chaotic systems; 3. Symbolic dynamics; Part II. Essentials of …

Multistability refers to the coexistence of different stable states in nonlinear dynamical
systems. This phenomenon has been observed in laboratory experiments and in nature. In …

Tipping phenomena, ie dramatic changes in the possible long-term performance of
deterministic systems subjected to parameter drift, are of current interest but have not yet …

Bifurcation-based mass sensing provides for dramatically enhanced detection sensitivity
and less performance deterioration due to measurement noise as compared to frequency …

This is a study of a dynamical system depending on a parameter κ. Under the assumption
that the system has a family of equilibrium positions or periodic trajectories smoothly …

We consider the slow passage through a Turing bifurcation in the Swift-Hohenberg
equation. We generalise the formally derived multiple scales ansatz from modulation theory …

In this manuscript, considering a piezoelectric buckled beam system under fast–slow
excitation, the energy harvesting with bursting regimes is discussed analytically and …

For dynamic systems with multiple time scales, its long-term behaviors usually present as
mixed mode oscillations (MMOs). The formation of MMOs is closely related to the fast …

A variation in the environment of a system, such as the temperature, the concentration of a
chemical solution, or the appearance of a magnetic field, may lead to a drift in one of the …