Product Description: The physics of extended systems is a topic of great interest for the experimentalist and the theoretician alike. There exists a large literature on this subject in which solutions, bifurcations, fronts, and the dynamical stability of these objects are discussed...read more

Product Description: This monograph details basic concepts and tools fundamental for the analysis and synthesis of linear systems subject to actuator saturation and developments in recent research. The authors use a state-space approach and focus on stability analysis and the synthesis of stabilizing control laws in both local and global contexts...read more

Product Description: This monograph presents a collection of results, observations, and examples related to dynamical systems described by linear and nonlinear ordinary differential and difference equations. In particular, dynamical systems that are susceptible to analysis by the Liapunov approach are considered...read more

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This substantially revised second edition teaches the bifurcation of asymptotic solutions to evolution problems governed by nonlinear differential equations. Written not just for mathematicians, it appeals to the widest audience of learners, including engineers, biologists, chemists, physicists and economists. For this reason, it uses only well-known methods of classical analysis at foundation level, while the applications and examples are specially chosen to be as varied as possible.

Product Description: Unlike the conventional research for the general theory of stability, this mono­ graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems...read more

Product Description: Stability theory began in the early 1960s with the work of Michael Morley and matured in the 70s through Shelah's research in model-theoretic classification theory. Today stability theory both influences and is influenced by number theory, algebraic group theory, Riemann surfaces and representation theory of modules...read more

IN THIS TIME OF TURBULENCE, scientists, economists, social innovators, corporate and civic leaders, and citizens alike are asking the same basic questions: What causes one system to break down and another to rebound? Are we merely subject to the whim of forces beyond our control? Or, in the face of constant disruption, can we build better shock absorbers—for ourselves, our communities, our economies, and for the planet as a whole? The answers to these vital questions are shaping a new field of inquiry, and a new agenda, focused on resilience: the ability of people, communities, and systems to maintain their core purpose and integrity amid unforeseen shocks and surprises. By encouraging adaptation, agility, and cooperation, this new approach can not only help us weather disruptions, but also bring us to a different way of being in and engaging with the world. Reporting firsthand from the coral reefs of Palau to the back streets of Palestine, Andrew Zolli and Ann Marie Healy relate breakthrough scientific discoveries, pioneering social and ecological innovations, and important new approaches to constructing a more resilient world. Along the way, they share insights to bolster our own psychological resilience, foster greater stability within our communities, and establish leadership imperatives for more resilient organizations. Zolli and Healy show how this new concept of resilience is a powerful lens through which we can assess major issues afresh: from business planning to social development, from urban planning to national energy security—circumstances that affect us all. Provocative, optimistic, and eye-opening, Resilience sheds light on why some systems, people, and communities fall apart in the face of disruption and, ultimately, how they can learn to bounce back.

Product Description: Katrina. Haiti. BP. Fukushima. The Great Recession. Those are just a few of the catastrophic disruptions the world has endured in recent years. As we try to respond to such crises, key questions arise: What causes one system to break under great stress and another to rebound? How much change can a complex system absorb while still retaining its purpose and function? What characteristics make it adaptive to change? Through original reporting ranging across disciplines including finance, neuroscience, oceanography, and social psychology, the authors explore how in answering these questions, the new science of resilience can help our institutions become more sustainable, enduring, and humane in the face of cataclysmic events...read more

Product Description: The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors...read more

Product Description: There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex nonlinear dynamic behaviors within switched systems. The authors present a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching where stability represents robustness to unpredictable and undesirable perturbation, constrained switching, including random (within a known stochastic distribution), dwell-time (with a known minimum duration for each subsystem) and autonomously-generated (with a pre-assigned mechanism) switching; and designed switching in which a measurable and freely-assigned switching mechanism contributes to stability by acting as a control input...read more