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"This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls.· Introduces new concepts for understanding and modeling complex systems;· Explains risk reduction management in complex systems;· Examines the symmetry group approach to understanding complex systems;· Illustrates the relation between transient chaos and crises."

"In this self-consistent monograph, the author gathers and describes different mathematical techniques and combines all together to form practical procedures for the inverse analyses. It puts together topics coming from mathematical programming, with soft computing and Proper Orthogonal Decomposition, in order to show, in the context of structural analyses, how the things work and what are the main problems one needs to tackle. Throughout the book a number of examples and exercises."

"Nonlinear Dynamics, Volume 1: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics, 2018, the first volume of nine from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on; Nonlinear System Identification, Nonlinear Modeling & Simulation, Nonlinear Reduced-order Modeling, Nonlinearity in PracticeNonlinearity in Aerospace Systems, Nonlinearity in Multi-Physics Systems, Nonlinear Modes and Modal Interactions, and Experimental Nonlinear Dynamics."

"ABSTRAKPenyebaran HIV dapat dimodelkan dengan menggunakan pendekatan deterministik kedalam sistem persamaan diferensial biasa tidak linier berdimensi tujuh, pada skripsi ini dibuat model matematika penyebaran HIV dengan intervensi ART. Pada model sederhana yaitu ketika tidak dilakukan intervensi ART, titik keseimbangan bebas penyakit dan titik keseimbangan endemik dapat ditentukan secara analitik dengan basic reproduction number. Kriteria kestabilan lokal dari titik keseimbangan bebas penyakit dan titik keseimbangan endemik dapat dianalisis. Titik keseimbangan endemik ada ketika nilai basic reproduction number lebih besar dari satu. Berdasarkan analisis sensitivitas dari basic reproduction number pada model lengkap model dengan intervensi ART , dengan memperbesar laju intervensi ART pada manusia yang terinfeksi HIV akan menurunkan basic reproduction number. Simulasi numerik dilakukan untuk menganalisis pengaruh intervensi ART dalam mengurangi total manusia terinfeksi selama periode intervensi.

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ABSTRACTHIV spreads can be modeled using a deterministic approach into a seven dimensional nonlinear ordinary differential equation, in this thesis establish a mathematical model for the spread of HIV with an intervention of ART treatment. In a simplified model, when no ART treatment implemented, disease free and the endemic equilibrium points were established analytically along with the basic reproduction number. The local stability criteria of disease free equilibrium and the existing criteria of endemic equilibrium analyzed. The endemic equilibrium exists when basic reproduction number is larger than one. From the sensitivity analysis of basic reproduction number of the complete model model with ART treatment , the enlarging number of the infected human who following the ART treatment program will reduce basic reproduction number. The numerical simulation of the autonomous system to show how treatment intervention of ART impacts the reduction of the infected population during intervention time period."