**Introduction** | **5** |

**Chapter 1. Models of bound physical processes of mechanical motion, heat-mass exchange,
thermoelasticity, hydromechanics and optics for sensors of various principles of operation** | **10** |

1.1. Problems of mathematical models construction and their solution strategy | - |

1.2. Mathematical models and investigation methods for thermal processes in gyroscopic sensors of
inertial systems | 15 |

1.3. Mathematical models and investigation methods for mechanical motion processes in gyroscopic
sensors of inertial systems | 24 |

1.4. Mathematical models and thermoelasticity theory methods in investigation of stressed and deformed state
of gyroscopic sensors of inertial systems | 27 |

1.5. Mathematical models and investigation methods for hydromechanical processes in gyroscopic
sensors of inertial systems | 30 |

1.6. Mathematical models and investigation methods for optic processes in fiber paths of gyroscopic
sensors of inertial systems | 33 |

**Chapter 2. Inertial data sensors of various physical principles of operation** | **38** |

2.1. Float inertial sensors - principle of operation, mathematical models, investigation problems | - |

2.2. Rotor vibratory dynamically tuned inertial sensors - principle of operation, mathematical
models, investigation problems | 48 |

2.3. Electrostatic spherical inertial sensors - principle of operation, mathematical models,
investigation problems | 57 |

2.4. Wave solid-state inertial sensors - principle of operation, mathematical models, investigation
problems | 63 |

2.5. Micromechanical inertial sensors - principle of operation, mathematical models, investigation
problems | 74 |

2.6. Fiber-optic inertial sensors - principle of operation, mathematical models, investigation
problems | 108 |

2.7. Systematization of mathematical models of thermally disturbed inertial sensors | 118 |

**Chapter 3. Special construction and investigation problems of mathematical models of thermally
disturbed inertial data sensors ** | **128** |

3.1. Deterministic chaos in disturbed non-linear gyroscopic systems - general approach | - |

3.2. Deterministic chaos in thermally disturbed fiber-optic inertial sensors | 139 |

**Conclusions** | **148** |

**References** | **149** |