Lectures on Nonlinear Dynamics

Brief introduction to the theory of parametric resonance.- An introduction to parametrically excited systems and their importance on the dynamics of slender structures.- Normal Forms.- Nonlinear Normal Modes and Reduced Order Models.- An Introduction to Nonlinear System Identification.- Comparing Master-Slave Topologies for Time Signal Distribution.- Nonlinear Dynamics of Variable Mass Oscillators.- Generalized Krylov-Bogoliubov method for solving strong nonlinear vibration.- Chaos Theory.- Dynamical integrity and its background.

José Roberto Castilho Piqueira has a doctorate in Electric Engineering from Universidade de São Paulo (1987). Since 1999 he is a full-professor at Escola Politécnia da Universidade de São Paulo and was the school Dean between 2014-2018. Nowadays, he is a member of Brazilian Engineering Academy (ANE). His experience is in Electric Engineering, focusing on General Theory of Electric Circuits and acting on the following subjects: dynamics, bifurcation, PLL systems, synchronism and stability. 

Carlos Mazzilli holds a Ph.D. in Structural Engineering from the University of London (1982) and a Habilitation in Mechanics of Deformable Solids from the University of São Paulo (1988). He joined the University of São Paulo in 1976, where he has held a Full Professorship since 1992. He has scientific experience in the areas of Mechanics of Structures, acting mainly on the following research themes: static and nonlinear dynamic analysis, finite element method, vibration control in structures, nonlinear modes of vibration and reduced-order models. 

Celso Pesce has a Doctorate in Ocean Engineering (1988) from the University of São Paulo. Associate Professor in Mechanics (Livre Docente) (1997-98) and Professor of Mechanical Sciences (1998 on) at the Department of Mechanical Engineering; Visiting Professor (1999) at the Naval Architecture and Marine Engineering Department, the University of Michigan, Ann Arbor; Invited Lecturer at CISM-International Centre for Mechanical Sciences, Italy, 2012; Editor in Chief at Marine Systems & Ocean Technology (2004-2013) and Associate Editor at Journal of Offshore Mechanics and Arctic Engineering, ASME (2007-10; 2013-16; 2016-19); Member of the Executive Committee, OOAE-ASME, 2019-2026; Head of the Mechanical Engineering Department (2007-2011); Head of the Naval and Ocean Engineering Department (2022-2024); Founder (1994) and Head (ever since) of the Offshore Mechanics Laboratory-LMO. 

Guilherme