Vladimir G. Ivancevic

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A novel, brain-like, hierarchical (affine-neuro-fuzzy-topological) control for biomechan-ically realistic humanoid-robot biodynamics (HB), formulated previously in [15, 16], is proposed in the form of a tensor-invariant, " meta-cybernetic " functor machine. It represents a physiologically inspired, three-level, nonlinear feedback controller of muscular-like(More)
Prediction and prevention of musculo-skeletal injuries is an important aspect of preventive health science. Using as an example a human knee joint, this paper proposes a new coupled– loading–rate hypothesis, which states that a generic cause of any musculo-skeletal injury is a Euclidean jolt, or SE(3)−jolt, an impulsive loading that hits a joint in several(More)
Nonlinear space-time dynamics, defined in terms of celebrated 'solitonic' equations, brings indispensable tools for understanding, prediction and control of complex behaviors in both physical and life sciences. In this paper, we review sine–Gordon solitons, kinks and breathers as models of nonlinear excitations in complex systems in physics and in living(More)
These lecture notes in Lie Groups are designed for a 1–semester third year or graduate course in mathematics, physics, engineering, chemistry or biology. This landmark theory of the 20th Century mathematics and physics gives a rigorous foundation to modern dynamics, as well as field and gauge theories in physics, engineering and biomechanics. We give both(More)